Question

If a and b are the zeros of the polynomial x*2 - 4 square root 3x +3 then find the value of a + b - ab

Answer 1

Answer:

We know that for any quadratic polynomial

p(x)=ax

2

+bx+c where a



=0

Let α,β be the zeroes of the polynomial p(x)

Then, α+β=

a

−b

and αβ=

a

c

Now, given that

p(x)=x

2

−4

3

x+3

So, we have α+β=4

3

αβ=3

Using above values we get

α+β −(αβ)=4

3

−3